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Research Methodology - Statistical Analysis

PROBABILITY DISTRIBUTION - Statistical Analysis

   Posted On :  26.05.2018 06:12 am

If X is discrete random variable which takes the values of x1,x2,x3….. Xn and the corresponding probabilities are p1, p2, ……….pn, then, X follows the probability distribution.

PROBABILITY DISTRIBUTION
 
 
If X is discrete random variable which takes the values of x1x2,x3….. Xn  and the corresponding probabilities are p1, p2, ……….pnthen, X follows the probability distribution. The two main properties of probability distribution are: (i) P(Xi) is always greater than or equal to zero and less than or equal to one, and (ii) the summation of probability distribution is always equal to one. For example, tossing of an unbiased coin twice.

Then the probability distribution is:


Expectation of probability

 
Let X be the discrete random variable which takes the value of x1, x2,…… xn then the respective probability is p1, p2, ………… pn, then the expectation of probability distribution is p1x1 + p2x2 + ………….. + pnxnIn the above example, the expectation of probability distribution is (0* ¼ +1*1/2+2*¼) =1.

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